Special Session 23: New trends in pattern formations and dynamics for dissipative systems and related topics

Singular limit of mathematical models related to controlling invasive alien species
Harunori Monobe
Osaka Metropolitan University
Japan
Co-Author(s):    H. Izuhara, C.-H. Wu and S. Iwasaki
Abstract:
We consider the dynamics of some Lotka-Volterra competition reaction-diffusion systems with the effect of controlling species. Our purpose in this talk is to investigate how the species behave depending on the effect of controlling species is large. In particular, we study the singular limit of the model and show that some free boundary problems appears. This is a joint work with H. Izuhara, C.-H. Wu and S. Iwasaki.